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58307472 = 2433711901
BaseRepresentation
bin1101111001101…
…1001110010000
311001201022211000
43132123032100
5104411314342
65441422000
71305414426
oct336331620
9131638730
1058307472
112aa052a3
121763a900
13c106782
147a5b116
1551bb44c
hex379b390

58307472 has 80 divisors (see below), whose sum is σ = 169810560. Its totient is φ = 19152000.

The previous prime is 58307443. The next prime is 58307489. The reversal of 58307472 is 27470385.

58307472 is a `hidden beast` number, since 583 + 0 + 7 + 4 + 72 = 666.

It is a super-2 number, since 2×583074722 = 6799522582061568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29722 + ... + 31622.

It is an arithmetic number, because the mean of its divisors is an integer number (2122632).

Almost surely, 258307472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58307472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84905280).

58307472 is an abundant number, since it is smaller than the sum of its proper divisors (111503088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58307472 is a wasteful number, since it uses less digits than its factorization.

58307472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 58307472 is about 7635.9329488937. The cubic root of 58307472 is about 387.7704739478.

The spelling of 58307472 in words is "fifty-eight million, three hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 852 1136 1278 1704 1901 1917 2556 3408 3802 3834 5112 5703 7604 7668 10224 11406 15208 15336 17109 22812 30416 30672 34218 45624 51327 68436 91248 102654 134971 136872 205308 269942 273744 404913 410616 539884 809826 821232 1079768 1214739 1619652 2159536 2429478 3239304 3644217 4858956 6478608 7288434 9717912 14576868 19435824 29153736 58307472